Abstract
We consider the algebraic group GL1(A), where A is a division algebra of prime degree over a eld F, and the associated motive in the Voevodsky category of motivic complexes DMeff(F). We relate the motive of GL1(A) to the motive of the Cech simplicial scheme X , associated to the Severi-Brauer variety of A, and compute the second differential in the resulting spectral sequence for motivic cohomology.
Original language | English |
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Pages (from-to) | 533-561 |
Journal | Journal of k-Theory |
Volume | 13 |
Issue number | 3 |
DOIs | |
Publication status | Published - 5 Mar 2014 |
Keywords / Materials (for Non-textual outputs)
- division algebra
- Severi-Brauer variety
- motivic cohomology